13760994908160 has 384 divisors, whose sum is σ = 49172330188800. Its totient is φ = 3650372075520.

The previous prime is 13760994908153. The next prime is 13760994908161. The reversal of 13760994908160 is 6180949906731.

13760994908160 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 0 + 9 + 9 + 490 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13760994908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52677387 + ... + 52937973.

It is an arithmetic number, because the mean of its divisors is an integer number (128052943200).

Almost surely, 2^{13760994908160} is an apocalyptic number.

13760994908160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13760994908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586165094400).

13760994908160 is an abundant number, since it is smaller than the sum of its proper divisors (35411335280640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13760994908160 is a wasteful number, since it uses less digits than its factorization.

13760994908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260814 (or 260788 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 13760994908160 in words is "thirteen trillion, seven hundred sixty billion, nine hundred ninety-four million, nine hundred eight thousand, one hundred sixty".